论文标题

限制状态核方程的同胞 - 反对对称扩展中的非分析项

Constraining the nonanalytic terms in the isospin-asymmetry expansion of the nuclear equation of state

论文作者

Wen, Pengsheng, Holt, Jeremy W.

论文摘要

我们检查了手性的两体和三体力的状态核方程的同胞 - 偶氮对称扩展的特性。我们专注于提取由正常术语组成的高阶对称能量系数(均匀的均质不对称能力)以及涉及等素不对称的对数的术语,这些术语围绕Isospin-Meptim-Metresmmetric-Metres-Memmetric核问题正式非分析。这些系数是从数值精确的扰动理论计算状态方程以及一组新的有限差差公式中提取的,这些公式通过明确删除扩展中高阶项的影响来实现稳定性。我们考虑对两体和三体相互作用的对称能量系数的贡献。发现对数项的系数在幅度上通常比二阶扰动理论图的正常术语的系数大,但是总体而言,正常术语对基态能量的贡献更大。高阶等素 - 敏感项在影响β-平衡物质中质子馏分的大密度下特别相关。

We examine the properties of the isospin-asymmetry expansion of the nuclear equation of state from chiral two- and three-body forces. We focus on extracting the high-order symmetry energy coefficients that consist of both normal terms (occurring with even powers of the isospin asymmetry) as well as terms involving the logarithm of the isospin asymmetry that are formally nonanalytic around the expansion point of isospin-symmetric nuclear matter. These coefficients are extracted from numerically precise perturbation theory calculations of the equation of state coupled with a new set of finite difference formulas that achieve stability by explicitly removing the effects of higher-order terms in the expansion. We consider contributions to the symmetry energy coefficients from both two- and three-body interactions. It is found that the coefficients of the logarithmic terms are generically larger in magnitude than those of the normal terms from second-order perturbation theory diagrams, but overall the normal terms give larger contributions to the ground state energy. The high-order isospin-asymmetry terms are especially relevant at large densities where they affect the proton fraction in beta-equilibrium matter.

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